{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# One Shot Learning with Siamese Networks\n",
    "\n",
    "This is the jupyter notebook that accompanies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports\n",
    "All the imports are defined here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import torchvision\n",
    "import torchvision.datasets as dset\n",
    "import torchvision.transforms as transforms\n",
    "from torch.utils.data import DataLoader,Dataset\n",
    "import matplotlib.pyplot as plt\n",
    "import torchvision.utils\n",
    "import numpy as np\n",
    "import random\n",
    "from PIL import Image\n",
    "import torch\n",
    "from torch.autograd import Variable\n",
    "import PIL.ImageOps    \n",
    "import torch.nn as nn\n",
    "from torch import optim\n",
    "import torch.nn.functional as F"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helper functions\n",
    "Set of helper functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def imshow(img,text,should_save=False):\n",
    "    npimg = img.numpy()\n",
    "    plt.axis(\"off\")\n",
    "    if text:\n",
    "        plt.text(75, 8, text, style='italic',fontweight='bold',\n",
    "            bbox={'facecolor':'white', 'alpha':0.8, 'pad':10})\n",
    "    plt.imshow(np.transpose(npimg, (1, 2, 0)))\n",
    "    plt.show()    \n",
    "\n",
    "def show_plot(iteration,loss):\n",
    "    plt.plot(iteration,loss)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Configuration Class\n",
    "A simple class to manage configuration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class Config():\n",
    "    training_dir = \"./data/faces/training/\"\n",
    "    testing_dir = \"./data/faces/testing/\"\n",
    "    train_batch_size = 64\n",
    "    train_number_epochs = 100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Custom Dataset Class\n",
    "This dataset generates a pair of images. 0 for geniune pair and 1 for imposter pair"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class SiameseNetworkDataset(Dataset):\n",
    "    \n",
    "    def __init__(self,imageFolderDataset,transform=None,should_invert=True):\n",
    "        self.imageFolderDataset = imageFolderDataset    \n",
    "        self.transform = transform\n",
    "        self.should_invert = should_invert\n",
    "        \n",
    "    def __getitem__(self,index):\n",
    "        img0_tuple = random.choice(self.imageFolderDataset.imgs)\n",
    "        #we need to make sure approx 50% of images are in the same class\n",
    "        should_get_same_class = random.randint(0,1) \n",
    "        if should_get_same_class:\n",
    "            while True:\n",
    "                #keep looping till the same class image is found\n",
    "                img1_tuple = random.choice(self.imageFolderDataset.imgs) \n",
    "                if img0_tuple[1]==img1_tuple[1]:\n",
    "                    break\n",
    "        else:\n",
    "            img1_tuple = random.choice(self.imageFolderDataset.imgs)\n",
    "\n",
    "        img0 = Image.open(img0_tuple[0])\n",
    "        img1 = Image.open(img1_tuple[0])\n",
    "        img0 = img0.convert(\"L\")\n",
    "        img1 = img1.convert(\"L\")\n",
    "        \n",
    "        if self.should_invert:\n",
    "            img0 = PIL.ImageOps.invert(img0)\n",
    "            img1 = PIL.ImageOps.invert(img1)\n",
    "\n",
    "        if self.transform is not None:\n",
    "            img0 = self.transform(img0)\n",
    "            img1 = self.transform(img1)\n",
    "        \n",
    "        return img0, img1 , torch.from_numpy(np.array([int(img1_tuple[1]!=img0_tuple[1])],dtype=np.float32))\n",
    "    \n",
    "    def __len__(self):\n",
    "        return len(self.imageFolderDataset.imgs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using Image Folder Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "folder_dataset = dset.ImageFolder(root=Config.training_dir)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "siamese_dataset = SiameseNetworkDataset(imageFolderDataset=folder_dataset,\n",
    "                                        transform=transforms.Compose([transforms.Scale((100,100)),\n",
    "                                                                      transforms.ToTensor()\n",
    "                                                                      ])\n",
    "                                       ,should_invert=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualising some of the data\n",
    "The top row and the bottom row of any column is one pair. The 0s and 1s correspond to the column of the image.\n",
    "0 indiciates dissimilar, and 1 indicates similar."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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GVqs1kMQLh8NYXV2VCIJOjc/HvcDhdruRTqcxNjYGAPB6vSgUCuj1evB4PAiFQvKeRqNR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Jubm0aymJmZKZPAIDiQpL6+PoNdbt++ratXr2piYkLPPPOMNjc3lclkFAgELBBNJpO6e/euWlpa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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f16f3ac18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.]\n",
      " [ 0.]\n",
      " [ 0.]\n",
      " [ 0.]\n",
      " [ 1.]\n",
      " [ 1.]\n",
      " [ 1.]\n",
      " [ 1.]]\n"
     ]
    }
   ],
   "source": [
    "vis_dataloader = DataLoader(siamese_dataset,\n",
    "                        shuffle=True,\n",
    "                        num_workers=8,\n",
    "                        batch_size=8)\n",
    "dataiter = iter(vis_dataloader)\n",
    "\n",
    "\n",
    "example_batch = next(dataiter)\n",
    "concatenated = torch.cat((example_batch[0],example_batch[1]),0)\n",
    "imshow(torchvision.utils.make_grid(concatenated))\n",
    "print(example_batch[2].numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Neural Net Definition\n",
    "We will use a standard convolutional neural network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class SiameseNetwork(nn.Module):\n",
    "    def __init__(self):\n",
    "        super(SiameseNetwork, self).__init__()\n",
    "        self.cnn1 = nn.Sequential(\n",
    "            nn.ReflectionPad2d(1),\n",
    "            nn.Conv2d(1, 4, kernel_size=3),\n",
    "            nn.ReLU(inplace=True),\n",
    "            nn.BatchNorm2d(4),\n",
    "            nn.Dropout2d(p=.2),\n",
    "            \n",
    "            nn.ReflectionPad2d(1),\n",
    "            nn.Conv2d(4, 8, kernel_size=3),\n",
    "            nn.ReLU(inplace=True),\n",
    "            nn.BatchNorm2d(8),\n",
    "            nn.Dropout2d(p=.2),\n",
    "\n",
    "            nn.ReflectionPad2d(1),\n",
    "            nn.Conv2d(8, 8, kernel_size=3),\n",
    "            nn.ReLU(inplace=True),\n",
    "            nn.BatchNorm2d(8),\n",
    "            nn.Dropout2d(p=.2),\n",
    "        )\n",
    "\n",
    "        self.fc1 = nn.Sequential(\n",
    "            nn.Linear(8*100*100, 500),\n",
    "            nn.ReLU(inplace=True),\n",
    "\n",
    "            nn.Linear(500, 500),\n",
    "            nn.ReLU(inplace=True),\n",
    "\n",
    "            nn.Linear(500, 5))\n",
    "\n",
    "    def forward_once(self, x):\n",
    "        output = self.cnn1(x)\n",
    "        output = output.view(output.size()[0], -1)\n",
    "        output = self.fc1(output)\n",
    "        return output\n",
    "\n",
    "    def forward(self, input1, input2):\n",
    "        output1 = self.forward_once(input1)\n",
    "        output2 = self.forward_once(input2)\n",
    "        return output1, output2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Contrastive Loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class ContrastiveLoss(torch.nn.Module):\n",
    "    \"\"\"\n",
    "    Contrastive loss function.\n",
    "    Based on: http://yann.lecun.com/exdb/publis/pdf/hadsell-chopra-lecun-06.pdf\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self, margin=2.0):\n",
    "        super(ContrastiveLoss, self).__init__()\n",
    "        self.margin = margin\n",
    "\n",
    "    def forward(self, output1, output2, label):\n",
    "        euclidean_distance = F.pairwise_distance(output1, output2)\n",
    "        loss_contrastive = torch.mean((1-label) * torch.pow(euclidean_distance, 2) +\n",
    "                                      (label) * torch.pow(torch.clamp(self.margin - euclidean_distance, min=0.0), 2))\n",
    "\n",
    "\n",
    "        return loss_contrastive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training Time!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_dataloader = DataLoader(siamese_dataset,\n",
    "                        shuffle=True,\n",
    "                        num_workers=8,\n",
    "                        batch_size=Config.train_batch_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "net = SiameseNetwork().cuda()\n",
    "criterion = ContrastiveLoss()\n",
    "optimizer = optim.Adam(net.parameters(),lr = 0.0005 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "counter = []\n",
    "loss_history = [] \n",
    "iteration_number= 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch number 0\n",
      " Current loss 1.533158302307129\n",
      "\n",
      "Epoch number 1\n",
      " Current loss 2.9323997497558594\n",
      "\n",
      "Epoch number 2\n",
      " Current loss 1.3263850212097168\n",
      "\n",
      "Epoch number 3\n",
      " Current loss 2.658734083175659\n",
      "\n",
      "Epoch number 4\n",
      " Current loss 1.3008321523666382\n",
      "\n",
      "Epoch number 5\n",
      " Current loss 1.639910340309143\n",
      "\n",
      "Epoch number 6\n",
      " Current loss 1.3741188049316406\n",
      "\n",
      "Epoch number 7\n",
      " Current loss 1.1272757053375244\n",
      "\n",
      "Epoch number 8\n",
      " Current loss 1.6025044918060303\n",
      "\n",
      "Epoch number 9\n",
      " Current loss 0.8411911129951477\n",
      "\n",
      "Epoch number 10\n",
      " Current loss 1.5298668146133423\n",
      "\n",
      "Epoch number 11\n",
      " Current loss 0.9592485427856445\n",
      "\n",
      "Epoch number 12\n",
      " Current loss 1.0067801475524902\n",
      "\n",
      "Epoch number 13\n",
      " Current loss 0.8730716705322266\n",
      "\n",
      "Epoch number 14\n",
      " Current loss 0.8735465407371521\n",
      "\n",
      "Epoch number 15\n",
      " Current loss 0.8504045605659485\n",
      "\n",
      "Epoch number 16\n",
      " Current loss 0.7596009373664856\n",
      "\n",
      "Epoch number 17\n",
      " Current loss 0.9446077942848206\n",
      "\n",
      "Epoch number 18\n",
      " Current loss 1.023537039756775\n",
      "\n",
      "Epoch number 19\n",
      " Current loss 0.5780060887336731\n",
      "\n",
      "Epoch number 20\n",
      " Current loss 0.5758188962936401\n",
      "\n",
      "Epoch number 21\n",
      " Current loss 0.5612518191337585\n",
      "\n",
      "Epoch number 22\n",
      " Current loss 0.641782283782959\n",
      "\n",
      "Epoch number 23\n",
      " Current loss 0.6175714731216431\n",
      "\n",
      "Epoch number 24\n",
      " Current loss 0.6164100170135498\n",
      "\n",
      "Epoch number 25\n",
      " Current loss 0.5844079852104187\n",
      "\n",
      "Epoch number 26\n",
      " Current loss 0.5944713950157166\n",
      "\n",
      "Epoch number 27\n",
      " Current loss 0.6683549284934998\n",
      "\n",
      "Epoch number 28\n",
      " Current loss 0.5563598275184631\n",
      "\n",
      "Epoch number 29\n",
      " Current loss 0.5321105718612671\n",
      "\n",
      "Epoch number 30\n",
      " Current loss 0.44139981269836426\n",
      "\n",
      "Epoch number 31\n",
      " Current loss 0.6131659150123596\n",
      "\n",
      "Epoch number 32\n",
      " Current loss 0.5526012778282166\n",
      "\n",
      "Epoch number 33\n",
      " Current loss 0.6335225701332092\n",
      "\n",
      "Epoch number 34\n",
      " Current loss 0.5078917741775513\n",
      "\n",
      "Epoch number 35\n",
      " Current loss 0.5067867040634155\n",
      "\n",
      "Epoch number 36\n",
      " Current loss 0.5779807567596436\n",
      "\n",
      "Epoch number 37\n",
      " Current loss 0.5910480618476868\n",
      "\n",
      "Epoch number 38\n",
      " Current loss 0.5989435911178589\n",
      "\n",
      "Epoch number 39\n",
      " Current loss 0.551940381526947\n",
      "\n",
      "Epoch number 40\n",
      " Current loss 0.6532068848609924\n",
      "\n",
      "Epoch number 41\n",
      " Current loss 0.41040295362472534\n",
      "\n",
      "Epoch number 42\n",
      " Current loss 0.3508054316043854\n",
      "\n",
      "Epoch number 43\n",
      " Current loss 0.41227659583091736\n",
      "\n",
      "Epoch number 44\n",
      " Current loss 0.5318877100944519\n",
      "\n",
      "Epoch number 45\n",
      " Current loss 0.49562186002731323\n",
      "\n",
      "Epoch number 46\n",
      " Current loss 0.2942555546760559\n",
      "\n",
      "Epoch number 47\n",
      " Current loss 0.38584277033805847\n",
      "\n",
      "Epoch number 48\n",
      " Current loss 0.38666215538978577\n",
      "\n",
      "Epoch number 49\n",
      " Current loss 0.40949398279190063\n",
      "\n",
      "Epoch number 50\n",
      " Current loss 0.4857412278652191\n",
      "\n",
      "Epoch number 51\n",
      " Current loss 0.34490254521369934\n",
      "\n",
      "Epoch number 52\n",
      " Current loss 0.3555058538913727\n",
      "\n",
      "Epoch number 53\n",
      " Current loss 0.341916024684906\n",
      "\n",
      "Epoch number 54\n",
      " Current loss 0.30871278047561646\n",
      "\n",
      "Epoch number 55\n",
      " Current loss 0.7999067306518555\n",
      "\n",
      "Epoch number 56\n",
      " Current loss 0.3556167185306549\n",
      "\n",
      "Epoch number 57\n",
      " Current loss 0.2678963840007782\n",
      "\n",
      "Epoch number 58\n",
      " Current loss 0.3148438036441803\n",
      "\n",
      "Epoch number 59\n",
      " Current loss 0.39129382371902466\n",
      "\n",
      "Epoch number 60\n",
      " Current loss 0.4827001392841339\n",
      "\n",
      "Epoch number 61\n",
      " Current loss 0.4577491879463196\n",
      "\n",
      "Epoch number 62\n",
      " Current loss 0.392761766910553\n",
      "\n",
      "Epoch number 63\n",
      " Current loss 0.3998594284057617\n",
      "\n",
      "Epoch number 64\n",
      " Current loss 0.4835646450519562\n",
      "\n",
      "Epoch number 65\n",
      " Current loss 0.2857019603252411\n",
      "\n",
      "Epoch number 66\n",
      " Current loss 0.35405978560447693\n",
      "\n",
      "Epoch number 67\n",
      " Current loss 0.3874605894088745\n",
      "\n",
      "Epoch number 68\n",
      " Current loss 0.3252284824848175\n",
      "\n",
      "Epoch number 69\n",
      " Current loss 0.33204635977745056\n",
      "\n",
      "Epoch number 70\n",
      " Current loss 0.4168483316898346\n",
      "\n",
      "Epoch number 71\n",
      " Current loss 0.3335677981376648\n",
      "\n",
      "Epoch number 72\n",
      " Current loss 0.3549787104129791\n",
      "\n",
      "Epoch number 73\n",
      " Current loss 0.3313119411468506\n",
      "\n",
      "Epoch number 74\n",
      " Current loss 0.33711498975753784\n",
      "\n",
      "Epoch number 75\n",
      " Current loss 0.32044121623039246\n",
      "\n",
      "Epoch number 76\n",
      " Current loss 0.416996568441391\n",
      "\n",
      "Epoch number 77\n",
      " Current loss 0.3235916793346405\n",
      "\n",
      "Epoch number 78\n",
      " Current loss 0.22570620477199554\n",
      "\n",
      "Epoch number 79\n",
      " Current loss 0.3964919149875641\n",
      "\n",
      "Epoch number 80\n",
      " Current loss 0.27311044931411743\n",
      "\n",
      "Epoch number 81\n",
      " Current loss 0.3262175917625427\n",
      "\n",
      "Epoch number 82\n",
      " Current loss 0.32287198305130005\n",
      "\n",
      "Epoch number 83\n",
      " Current loss 0.3046836853027344\n",
      "\n",
      "Epoch number 84\n",
      " Current loss 0.27225208282470703\n",
      "\n",
      "Epoch number 85\n",
      " Current loss 0.31954100728034973\n",
      "\n",
      "Epoch number 86\n",
      " Current loss 0.3315045237541199\n",
      "\n",
      "Epoch number 87\n",
      " Current loss 0.4315215051174164\n",
      "\n",
      "Epoch number 88\n",
      " Current loss 0.2631872594356537\n",
      "\n",
      "Epoch number 89\n",
      " Current loss 0.31313031911849976\n",
      "\n",
      "Epoch number 90\n",
      " Current loss 0.28468945622444153\n",
      "\n",
      "Epoch number 91\n",
      " Current loss 0.34112831950187683\n",
      "\n",
      "Epoch number 92\n",
      " Current loss 0.2746431827545166\n",
      "\n",
      "Epoch number 93\n",
      " Current loss 0.20362019538879395\n",
      "\n",
      "Epoch number 94\n",
      " Current loss 0.3141821026802063\n",
      "\n",
      "Epoch number 95\n",
      " Current loss 0.28343573212623596\n",
      "\n",
      "Epoch number 96\n",
      " Current loss 0.31322476267814636\n",
      "\n",
      "Epoch number 97\n",
      " Current loss 0.2453240156173706\n",
      "\n",
      "Epoch number 98\n",
      " Current loss 0.34754714369773865\n",
      "\n",
      "Epoch number 99\n",
      " Current loss 0.22099332511425018\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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LJ+QyZWh6u/GEsXk+3rpnPrk+dyT0Z47I4h93nMvSnaXUNvkZmZ3G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\nllmSCiyfkwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f17398ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for epoch in range(0,Config.train_number_epochs):\n",
    "    for i, data in enumerate(train_dataloader,0):\n",
    "        img0, img1 , label = data\n",
    "        img0, img1 , label = Variable(img0).cuda(), Variable(img1).cuda() , Variable(label).cuda()\n",
    "        output1,output2 = net(img0,img1)\n",
    "        optimizer.zero_grad()\n",
    "        loss_contrastive = criterion(output1,output2,label)\n",
    "        loss_contrastive.backward()\n",
    "        optimizer.step()\n",
    "        if i %10 == 0 :\n",
    "            print(\"Epoch number {}\\n Current loss {}\\n\".format(epoch,loss_contrastive.data[0]))\n",
    "            iteration_number +=10\n",
    "            counter.append(iteration_number)\n",
    "            loss_history.append(loss_contrastive.data[0])\n",
    "show_plot(counter,loss_history)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Some simple testing\n",
    "The last 3 subjects were held out from the training, and will be used to test. The Distance between each image pair denotes the degree of similarity the model found between the two images. Less means it found more similar, while higher values indicate it found them to be dissimilar."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "run_control": {
     "marked": true
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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R8LQuIldqBHoOI7GjxGFkfUh0z+7ubkYrUrn9qUc8Y5gsLn8SGK/RocnPeh+j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\n09PpNJmo/ElkEtJEzWbzKKKoRhpZpAEWmZEjbTAqx63Iwi3081SaKJ0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f6950fb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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REROOsZPodZEjLha2urrq3tYcT6xjgrlm9dramour5oJF7OjEXy5bqkMCC4VC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\nFi91XoAPL3F/QnipY8xHxUsrqS+Llxw9hL+j4KU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ZvNQcHRUvOStV9xHQvEQdmRBe6kxS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\nEREREROOuNBHRERETDjiQh8REREx4fh/6GDzyL/yqdcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f17339320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V5zmwXT6zLNOtbG9v28WLF81sPI9vVArWTSGFFFLIIZeZQ/SRaqPdsVqtJn68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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f14ebfac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EREiHqdRLaTWVSiWhbvWx2WwmZy6RiPKkz8/P51Iob29vZ1CzHN7qAyvxRLU5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\nRUQGR0MvIjI4GnoRkcHR0IuIDM4PiLoRLNuawQcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f14e57828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fjEmIbIvaPIhS98unTfWZdknm/vdh7J6x4NVZHm+ne44ePZrqMx6PC+wrtoGT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\n2eIgc9ZjaWmpYAqhFkBTCMvxjrbpdJqZVyLxqIwIn9oezR+iHErm83m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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f782a2550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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jlY7cyJ6vcXf69OmcaSAKsefn4XCY6kntyUdJNpvNlNCLrCiavoRmVe/V1dU0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\nR/QMjIsS4lUqlUyQnNmOHVzvYnNzM9VZiH95eTmRIkgciJK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jfX09NzfZ31GsQbSQj1uf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\nlBP0AOUEPUC5N1apwDPMNrhPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f69112390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KnHi2h6YfX4dzfn4+2dTJVopUddqxvdmITl3fJonnb++ngZTL5Vzuf85BOvyF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\nACRHoAeA5Aj0AJDcd4cDAG1uqH2PAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f17732588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RR6qNdsdqtZr48drldNCv2f4OTi5utVrNOS9pmqGJaJL91WyMTjx/l/Xodrup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\nDtMUsx7XMwZJAxwOhzlHcbfbTUib2hFP+JK2p5xGi4uLqT36zgeseQr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xq8baosLgZDJJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f694f7c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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arZabV95vgB39Vgy5VWzuXHmJ8YTwkl9YQBYv9QLsw0vtJPfhpRZ6fHiJ+x/C\nS672yXPFc6B5qSNjfHiJF04IL/Uc+PCS83LQZhYvtalwN4imm4iIiIgJx9hJ9LrIERcLW1tbc29r\njifWMcFcs3p9fd3FVXPBInZ04i+XLdUhgYVCIbV7zN69exNhWDocTiS9byWnrOdyO6VQedzsUMXv\nODsOfeYSr3oz83w+nyijyhIG2kHsNyRClmzq9XoqnJRNLpaDkKU+rqmP8fC9Y2e7VbrA2tydTUy8\n9yfGhWtjPK1Wy3FnamoqlXY+KKPVqnfO9wdthvCS67aL+PES9zmEl2gzhJdcphq/y+Ilmx5wThYv\n0VYIL1kLFBkdL60gkFHwEuMM4SW3v1tEiT4iIiJiwjF2Er1+M3c6HWfXXF9fT2UGsrTLUg6/9RHe\nxDYuKy2c36icQIN2uB4H+sbZhno/SM4W5PZ0qBf3w9rdqlwuJxxMeg5gyxeRRG0R3qlH1+CwdiXK\n5/MJSU87a9k+yt/x93peeccs9Jd/xxKPZYtme7GVrIJzeJMXZB3WarWEL0Gfw/3ga1hOL6vGSQgv\ntXPTh5e6BooPL7Vj1YeX2tnnw0v4nEbNS04sQn+yeKnLSPjwUjv/R8VLzEkIL60w21CM3UIPsCoF\ntY1VJ1ar9EbVvV7PqUNcJIw96gDvMMUqEj7DDMAPI87Rzhe9QHPfWG22SjUA/CJgVZhVZe0840WF\n6+tzHLF2anU6Hfewo4/5fD5RLE6DX4ZMeCsqhO8P1FmYA/r9nS0L2SnGRNeLU7fbTcQj64qlfH94\ndx/Aqh/OxaN4MdUqu54DfB/CS4wxhJd6c2ofXur8kFHx0srazeKlTvX34SX6HsJLnbnsw0v0KYSX\n+BzCSx2b78NLbVbaDaLpJiIiImLCMXYSvY43FrH32bRK0XK4FaufWi3kuuuWutTpdFI1NrrdrnMS\naakJx3CcpTv0Q+99KbItdesSyiwVsCOM2+YsQRxjswjOYWlNO7A4FI+lIVal9bxyZiA74XhsWrXt\n9XrO1AXoc3QNDzYD4D5wNmer1Uo4kNEfXamSTWvtdjtR0wfzr4tH9fv9lNQlcu68tLJXs3ipzQk+\nvNTZkz681JKiDy+1uceHlzqGnPs0iJdag/ThJb4P4aV1ThYvdV0hH15q05oPL/X92w3GbqFnUgOs\nRnL1OcBSTUGCarXqTAa8YYguKFUsFhNt6mJknGTCnnu241m2Q73QswrLaiiT3yrQxDvRa88+f88F\nmHhbM23MglmSAAAgAElEQVQjttRAfiA4ConJr19YvKD1euktD5moOLdSqSSShPSm6padPJ/fqfbI\nG8uwnVVXtBSRxIOlS2WUy+VUJUpOl9fj4PZwPjAKXmK+QnipzZg+vNSb3o+Kl7oapA8v9f3x4SVH\nMeE6WbzEvIbwEvMxal5qYWQ3iKabiIiIiAnH2En02gk3MzPj3ohra2upKBYuLsTlg9mRBWcJJA32\n9vNfnFOtVlPZtgsLCynnDEsp/LbXJh0+Vi6XExKT9ZbWuQQs+bCExjWvMXZIh1yYykr17/d3duph\nFZSzKDnLVmRbmtSqNs+rFZfOkSKs1nJddp3TsLW1lag9j99B6lpYWHAZlejv0aNH5f777xcRcbv4\nsOrdbrcdD1CjnqVDy1zAYF5C8grhJdoM4aU+x4eXrNGhH1m8tCT5LF7qZ8GHl5o7PrzEPRw1L9FW\nCC91XoAPLy1zUBYv9Vq1G0SJPiIiImLCMXYSvbYDconeXC6X2FgY0HY9Lm/6nOc8J+UA6XQ6rk3W\nAlgKgnQD+xs7rdj2x+VRtbOEC35xbQur31xQynKoAYVCwV2THYOQFNj+yefokDN2erFEhz5xyBm+\nr9fr7hyWLDEmq4xqoVAws5AZvEEE2sR8sd0XfZudnU34VtAGJCKEV3IstM6TwFxoKYlrwzCYl7pE\nrw8vuRS0iB8vdZy4Dy+1HdyHl1Y5Xt1vzUst8fvwUs+rDy+1T8iHl9p56cNLzUmRbF5yKKaIHy/1\n3rU+vLTCb0Mxdgu9dqSwt589+7gJIuldqTqdjpw+fVpERB5++GEXlcBFnTS5eXKr1aorvIRzW61W\nKta22Wy6B7NaraYKL7FjiMlmFWZitVcTlB/gXG5nJ3mc22g0UlUAOcGFSWwlYrBqyCo5PnMkCEfb\n8Hfor64+ypEk1u/YJMP13XVsMT/M09PTqZjsXq/nTCq4d6dPn044znW0hpVIwxE0DJ5/7Vz24SXm\nLYSX+lnw4SUWr1HzUr+EfHjJW3Dy/IgM5qW+jg8vh/FtEC/1C8eHl7pMhA8vcf9DeKlfBLtBNN1E\nRERETDjGVqK33mgsAbD0oUPfut2ue1s/9NBDcujQIRHZ2TSaU7M52w9vXt4DFBJSs9lMFCISScYT\ni9gp2TqTj+N8OdPOKpbE2Y3WfEB6mJ2ddfW0IXFox55WTTmzjyUoSyNgaQrt8/xp6Y/btKQQjq/m\nGGiAMy95s2WOdYbTGf3hUgC4vysrKwmHnC6uZpWatfrDc2CVJvDhpb7PPrxEuyG8tKTlLF5qLc2H\nl1b+QRYvtfPfh5c6vt2HlzqT1IeXHCaK32XxUucF+PAS8xHCS2scoYgSfURERMSEY2wlen6jseNC\n21TZacXAm5d3n2cbPmyYeCvzBgwiOxIT7HDdbjflC2Cw3dMKZ4MThu252vaOcyy7MaCzV0WSu/dg\nrJVKJbGfpxUOp6FreeiwrlKplLL3crlXBtdn0RIjS1PsTOQEIS1p81zl8/lUksna2trQLMqpqSkn\nMUGqajQaqY0mBtW64fuks4NHxUudnSoyGl7qZCUfXuqx+fASNu8QXmrbug8vOetUYxAvtYTvw0ut\nKfnwUmsBPrw8H7Vuxm6h1w+4iCRiV7XX2jqn1+slzjlw4ICIJItqYfKsImBcnxo3jsnEu1LxQ6i9\n4tbDztEjvV56I+pqterOYSLyImlljcI5h3FvbGwkKgZqFdzKmOTMSs4R4N/pUgtMXl4AWEXW/eXI\nCksdZdOblU3Iiy3H5qNqpeVo5P+DB6urq26OLGcr41x5ifZDeKkdez681HHp+jPOZV7q6BEfXurF\n1oeXcMyG8JKdlvibxUv9wvHhpc6nGBUvrXazeBmdsRERERERmRg7id6KGYVKs7q6msqU63a7KWcF\n16lgUwnAkgJv4sthYZCm8Gbmehl671hc2yraNKxOBbdpOcIYLJ1oMwF/hgS1vr7uJARrr0mWPqyY\nXY5BZzXTUrGtwnAsoWn1WyRpwtD94PrgADvhrHHPzMy40DVoXNwfdoiCGxsbG7Jv3z43NvTRMrmc\nKy95XnG9LF5qZ7kPL5mTuPa48BJZo5PCSx0u6sNLbUbz4aUOg94NokQfERERMeEYO4le2994/1cr\nGYU/443IIUnT09Mu1AnZhJ1OJ1UBr9frORtiqVRKhVuxJAGpqlaruf6yFITvObSKpQZ2iuld4Vut\nVsqOpyUsLZ1wKB7+coYg1+Ww9g8FWPorlUpuvLqPg84fZKfVDlwcxzk6ZFCfr8fDdlqeNziw4ORk\nX0Cn00k5tSBZct+sBC/+nh1uIbzk8E0RP17imiG8RIjmqHnJ7eN3WbzUdXp8eKnDRceJl3o8PrzU\nvgAfXuoEsd1g7BZ6rkstsj34/fv3i8h2ViFIz45X7Uxi5wynjYMY5XLZOTswyZx5yeoUnGetVivl\nFOGHnmOLmdxWXgAvAPrFxlmUTFqrbCnQ7/dTajBnSbIzylKLeVzDYsgtBx+/iHu9neJrPBc6OoH7\nw9EN1rxYTlDuO5sqeOtFke0FkhdBfS84Bh0mL92+bpu5EcJLHQ/uw0udeenDSxaQcG4WL9mcgTZH\nwUvOKMf3Wby0IoWAQby0SnZn8VJHuPnwUvfJh5e6VMa58tIX0XQTERERMeEYO4lev1m73a7LHLzs\nssuc9IOQJZZIWO2CZNRqtdxnrk2inWs6oxFqNaSCSqWSUvU4XIodQuxo0U5FPodDLbneiS67rCVC\nrYZyUSbuD6u4llRthZLx/Fthavp3rPpzbDFLTtb94cxLLSly/RbLpNLr9RJmOsw1nKODtAA91/V6\n3TkIITmxuYfB84J2QniJzyG81Nzx4aVl+szipT7Hh5faQejDS62tj4qX2mnsw0vNZx9eapOKDy8t\nLSCLl9rcsxuM3UKvI2i63a5T//bv3y8nTpwQkZ2a44OIwQTTqmm/v1OLGn8rlYq7cfV6PVW6wIoQ\nYJWPY6WZaNoEweooq9BM3kGLKP7qGGYrUiGf39mhiNX3QTHmmBc2A+hEnEKhkFJn+TM/hNyfYQu9\nZXorl8upJJ58Pp/4nU6s4bRxXaYB19QvD14geC515IruBz6Pmpc6xt+Hl1ZyVBYvtUlyVLzU9ngf\nXmrBb1S81GPz4SW/GHFsFLzUeTW7QTTdREREREw4xk6i1xlsIkmVU6c189ucU5Ytswe/zaFi8duY\n64PrDENLGur1dvb4ZFXYypRjSYWvY6nvVtwzZ+T5OFa5P8ViMeXIYYlGmwhwzMp+tMZjSYf6L/qO\n37M0hOPstNL3lCXGZrOZkkJ53lgV5r1RtbRYqVRkdnY2NQYrXvxcecn3F8eyeMmlEfSxQbzE8XHk\npebZOPHSMl9l8VKP04eX4EkILy3uhSJK9BERERETjrGT6AG2zfGbHTGpKBrEUg6HVUEiseJlrfAw\nvoYVE8z94F2pLLslx0Jrm6p2DOniaoOy/CxbKPfXAksvliQDsHTIfdMON8s+yt9bzjMr87LT6STm\nEG3i3hYKBSfx6HuLz9q2y45MzHmz2TQlX47NB48sm7YF9mOE8JKdp7hOFi91P3x4qSVKH15a/p1x\n4aXm4Kh4ae07ncVLHdfuw0uElobwUre5G4zdQq+jYPL5fIKgUGm4UBDiptnjDccHJzawo0s7+5rN\nZuIhHPZAsVOJ1Wsdw2w9HPyAl0qlVI1udlABfMwiLZtCrMiYQYuX5YDih0c7wgaZiKyHh49pM4J2\n+vI49bxxejg+VyoV98BYUSE4xpEe3BbXS7fu87CXIc91CC9xTggvefNrnJPFS731ng8vdZy9Dy81\nH0fFS/0S9OGllbui29a8tJy+eqyal1oY8eGlvhd8/iBeDnsZ+iKabiIiIiImHGMr0QM61EiryJwC\nzlIFMgdLpZJ7u0JKYemQpXO8jTudTipGl50zw6QU9FMkGUfMx7QZgs9n9XyQZKmlDg5XtMI42Uln\nSUaWecWSxthRabVjOax1hq5IsrQup4CzhGU59Fi1BQ94g2fMJZf9ZbUXfUKZgH379plzaYWe6jwL\nxqh4ySYozE8WL3XffHipnY78+XzyUn8/Kl7q8314iXswal7qUGMfXupzdoMo0UdERERMOMZOordK\ncrIEACcR9tvsdDpy8uTJxDm84zxLGmzD18kH5XLZHeONJLgQlHaKsA2x1+s5CYylJUsC0JoBf2ab\nHMA2RJ4PxjAbI9sGdbv8W7aZ8vlWoS2Wlvj+aCmq0Wi4860iUly/haVU7avhHYHYWYiaICzZAlzq\nl6Ux3FMO7+NxWcWjzpWXvOcpzsniJfoZwksdXDAqXlo8yeKl/t6Hl/qZ8+Gl5pMPL7UlwYeX0MhC\neMll0dFOFi85VHO3GLuFHuCIBb6JeFCwOw+nGPMmyXgg2EECtcpyAvGDJ7Lz8LH6pkmpHZH4bKnC\n7ISxsvOsaAEmmuWc4d9bTmyLTPieyafPBXT2MPeDi85xbDEvzDimHd8cT8yx7rxLk44h53kR2Yms\ngRN0aWnJlTGwCm1tbW0lnF0iyaxS36gbHk8IL3FOCC+taJwsXlqOyCxecgE0XC+Ll9o84sNLtB/C\nS+teZPFS52D48FKXIRgVL3UkkA8vz0fUTTTdREREREw4xk6i19KHzoTTjom5uTmnLkNVFtl5Kzab\nTfeWRWhbrVZLvcFZMuIsP1yv0WiY4XAcpqZVX0vVZSkln88nQgFF7LhaPsfqG59nhbaxRMPhcPxb\n9JfP0X3iPUvRb1aV+bd8TNfz7nQ67lir1Urtt9psNk3HH0uukIL4OxxDffezZ88mVGA4SrFhNUvQ\n7ITTJiCME7/TkvaoeKmduT681GYyH15a2mAWL/U5PrzUHPThpZaAfXhpaSNZvGTuiYyOl2fPnk2c\n78NLfU93gyjRR0REREw4xk6it+ySfEw7zwqFgisXi7cl2xC5BgnejGfPnk1l/nU6nYT90wov4/0+\nccyyN1obPODcZrOZqDnCNS9Ekk4iaw7YpsoSpXZ09vv9xNj0vLJ0wBKYFarHdks9lyzRs62TpSH8\nFqGF7XY7YSuFb8VyQPFcWhmVXIsF10aY2ubmpgu1rFarTmLSVSHRD32Mca68tBx7ei41L/VOSj68\n1P4dH15y+KZu83zyUt/TUfFSS/Q+vNRt+fBSh0778BLaWwgvz8U2D4zdQq/Vv6zsuVKplNotitU7\nLi6FY1wHG2pVqVRKkE6Tlsu0Wt56LmyFc5jIbCJCrWl2CIGAjUbDLYg8Hl4otFONo4ywUOg65Lpv\nbKaxaoZzPW4QXi/q+MuZf1g0cM7m5mZKLeZomEKhkBovL1j84HDf8FuMl7NPoQrPzMy4tiuVSurl\nbmVEWpt28/dZzrFBvNQc9OElR+igD1m81C98H17i/oTwUvPAh5dcAA3nZPHSyurN4qV2mPrwUkfD\n+PBSF6rz4SW4GcJLHcywG0TTTURERMSEY2wleoBDp3RNC5HttyAkJ4Spra2tJULG9Pk6Lh3XsZyS\nkEi4MJWlXnY6HSctQDrI5XIpabbdbju1rdFouOtAmur1einpgqUySxXnIlUwF1QqlYTzzaqxYcXv\nWiGQHEqJY5YZhqU+lpwgFUJt5Rhka6MILriF+WeHF4+HY6kBzlLlHZmse245/y1Y8fMhvFxbWxMR\nCeLlMGf5+eQl72wk4sdLXVfIh5dcs0ePZxAvde0eH15qM4wPL7Xm7cNLHW7tw0tI9CG8nEjTjY5e\nYDMMT4ilQkEFYvW60+k4my2riaxuiaQr8vHih3O06SaXy5kbQLOKjIcHf7mqYavVSj2EHPGA61lb\n64nsPOwcx412pqam3LFisZiqL14sFlM2Rv2w6YJVjUbDtc8LPca2ubnpxsMPFMaDjZHZdpvPp7d5\n40gQXKfT6bgFXCRpb0bf9T0tFovO/nn69OnEPcD19LwOeqiYl9rk4sNLzWsfXuooCx9e4vohvNQ7\nKfnwUsfz+/ASYwvhpU4S8uGlfnH58FL7CHx4iXUghJcYZwgvz8dCH003EREREROOsZXoWQJiFVfH\n0HY6ndRbklOi2YTB0ruW/lhS4O9ZzdQRDYVCIRF3a0VWsOSrf8cRAvjd1NSUe8OzhMWOWYyNMypZ\n7RbZVnshVdRqNSeBQZqamZlxEiVLU5CwCoVCwjyA/up62s1m06n3a2trrh8sEWqNgett8zi05Inz\n0R7artVqrs8sTUPaxd9+v+8+12q1hASI/lh702rzIV+HtcUQXuJzCC+15OrDS9zzEF7qcrs+vNQS\nvQ8vcS9CeIl5C+ElPofwkq8PZPESbYXwEsdDeGnlP4QiSvQRERERE46xlehZaubQNl2MjN+ckASm\np6fdBhDlcjkRVy2StAOytGPtj8ngMDj8Dtjc3DSzUwGWutiJxJKXSNI5xnPBb3MdDsdhaFyfg518\nkFgwF5VKJbWDTrVaTUkxPE62zbJEiH6sr6+n6oPwNdEmS0PsbOJQVy1hzc7OujyJjY0N1yb3DVIf\nvsvn84kiYJjPxx9/3H1/8cUXJ65tOerRvkhSag7hJfxHIbxEGyG81DZtH17qcEQfXlpF3rJ4ibZC\neMnc1NcbxEv0M4SXOvzSh5eoTRPCS/2c+vDSKugWirFb6LMSf6yoHBzDTZifn3eTXyqVUh5wdmCx\nw4WdeFbaOG8SzN+hvxyBgL/4zOnaTDocB2nK5bJrhyvgAblcLhUhwBFDvGBxHW0d8cCkYzVS/w79\nBLDA4yFqtVrOycrmCpzPJoqlpSV3DOfv27fPlSxAEbC9e/e6c1ZXV921sehz33gnH52DUa1WXX/z\n+Z3KkKdOnXLnHjx4MDEH1qItYsc4h/ASZsUQXmrTjg8vdSSIDy8xRyG81Juh+/CSY/vRjyxe8guA\nf8f9FUnyEsdDeIn2R81LvLBCeKmDQHaDaLqJiIiImHCMnUSv1RMOZ7NijEV2pHKUiN2/f7+TBJaW\nlpyzBOCYX5aa2JHCpiO+BoMzCCuVipPAWULSMfGNRsOMLcb3KysrTqpAv3u9nuvHzMyMMwPwvp66\ndGu1WnUSVL1ed+YBXKdSqbj54jhhLspkjRnS0okTJ0RkW6XHXLMEB3C2IO++g2MrKyspiTOXy8nl\nl18uIjsS8EMPPZRwNGPsHJqoQxhnZmaclMQmF3amakfkIPWYj2vHqw8v9+/fLyISxEuW5NF2Fi/x\nfQgvcTyEl7oYnA8vcf9DeIk+hfASYwvhpd4FzYeXDz30UGJefXgJ6T+El+disgGiRB8REREx4Rg7\niV6/ea1SpSI7Esvs7KxccMEFIrKTFbpnzx45duyYiIh8//vfl+PHj4vITrlYzqTj67BtUYc0FQqF\nlBO2Xq8nCk/pRI1Op5MqYrSwsOA2IpiamnLSFhwxW1tb7pqQoGq1mrvm9PS0XHjhhYnvYYtk9Pt9\nJ2HlcjnXD0gfnChjhY9xRh9LJJBYWJqFHZf7gnO47/iuXC67a/G88cYLmC/chwsuuCARqqezoVm7\nwrUrlUrCCa5rhXCiCyQ6tokymJe6EJcPL3HPQ3hp2byzeMncE/Hj5cLCgohIEC+109GHl7oOjA8v\ntfTuw0scD+ElNIYQXuL+hvAS34fwkv1Hu8XYLfTaGctOHn7Y+MZADYKD5MILL3Sq8nOf+1xXF/z+\n++8XEZFHHnnEOQYHRRVodYpjW62HjFOqrfRy9HdmZiaRIQo1FSny5XJZzpw5k5oT3Py5uTnZt2+f\na0tEZHFx0Zk40Ie5ublE7LZ2PnPxLu63FSnEhba4aJpIsnAVR3DoOGsRcfekXq8nHJAAHJbVajW1\nYBUKBTfeubm5lOlifX09FXHCDrdisZjYsk9k+wFmhyrOsYpHWfsjhPASi2AIL7lsBuYyi5f4PoSX\nmNcQXuqILR9ewrkZwkt23AJZvNTbNvrwEnwL4SWbrTAHWbzUTmUfXmoz2m4QTTcRERERE46xk+i1\nesJv/V5vZ6Nj/D1z5oxziuB3F154oRw9elREtjdrxtuRVS0t0XOsOodEsaqsY5h1HQt2gIlsSz06\nW5Ml4Eql4uJl0fbm5qaT+qA+F4tFpz4ePHjQSRCshuIzJLBcLueuWalUErHlItsOQlZt0R6bC3RB\nsUKh4M6BxLe0tGQWpsJn3lCZ65rgHHbmAq1WKxU7zFoNq7acscrlb9EHKwadyxjrzFjtINXXEUnv\ny+rDS0j0IbzUseo+vNQZ3z681BKwDy/13qg+vGQJHNfJ4qWO/ffhJeYwhJc6/NKHl1Yeiu635qV2\nsPvwchAnQxAl+oiIiIgJx9hK9PwmtyQWHFtfX3ehfpDOl5aWnJPnwIEDzsYGCalYLLq3LxxHuVzO\nSTwsBbHNTVeI5IQOPodDtfDmtirccTjWlVdeKSLbYV36OpxByKWEObFEJ42JSMLxo/tx8OBBZzPl\nfuN3vKEF26fxW0ihi4uLzjfSbrcT0ifmXNfHyeVyzqaatYMOrl2pVJwkyJtPsDSk/TuckNPtdt3c\ncGVBvYGG5QAUSfJShxbyHA7iJaTMEF6iHyG85OQ3fc755CXmYNS8RJ9DeLm4uCgiEsRLfB/CS4wj\nhJdau/XhpRUsEYqxW+gtld2KTebMPp0xVq1WnbPp0UcfdVENrCrDccSRAezs0I42LnrGDhs8UKVS\nKeUIm5qacgTm7/CwiyTNM7gOwOob5oAdaRzni9/iIeE4bCYlIivm5+dTTh4uDsVZmACn2KOdQ4cO\nJQqc6Yddjx3f8cKK+2cVmOM4ai6KxeYZnMP3CvOCc9bX190DheisZrPp1GJrrhmWyh7CS/Bg1LxE\nP0J4qfcLEMnmpc4h8OGlVcQti5d6PwcfXsLJHcJLnRvhw0ttlvXhpc5g9+FlVo6HD6LpJiIiImLC\nMXYSPUtjAMfL6p1tOHsOxy699FLnTFpeXnaSExyVtVrNSRCQgDudTqq4E4OzFlmi53A3LelxESS0\nvbm5mah9oYu49Xo9F1PMsbZcZErHcXOIHKumOMYSHMf56lCwVquVyJLkkq0YI36L9mZnZ90c8m45\nkBJ5oxWOj+bwMXzPTjZrExGeX23i4wJamCue11arlXKecYlelvQsyelceXnppZeKiATxkouMYa40\nNC859Bd9y+IlJPkQXuJ4CC9xTggvdRE9H17CMRvCSz1vPrxkc5Ket/8rXvpi7BZ6rX6z2sr2Ub4J\nUHlAhksvvdSpb+z5x0RubGy4c/B3ZWUlQQJ9HbaTs7cf4AcKsGLvq9WqO58TrrhEgrW7PccZYzGA\nPRF/ReyIhkHVBnXJAJEdMnJyCG9erO3TbM/N5/Mpdbbf7yc2nca5rPJb2wXqPvKC1ul0UolDVokC\n/r7VaqUeTO4Tm0R0PD5/z2Yn7mMWL7HQh/ASxbRCeKk56MNLrh8vMjpe6uqio+IlV5tEO1m81C9D\nH17qtWpUvMR1LF76IppuIiIiIiYcYyfRa6eWSHInH3yGVFGpVOSiiy4SkR0H1uzsbML5gvhfvFFP\nnjzp1GZIF9Vq1Z1v1fBmqYFjmbkQka5xz9fkzFhIS1yymGuSa8dRpVJx6ijvYsNSAxcmw3hYXdWZ\nphxdYkkPW1tbKcnIkjh0NqZWd/fs2ZMwj6Edlmi0SsrOMx4j+sa19q1duKx+NhqNVE3zfr+fKlw1\nMzPjNEPGufIS9y+Elyzpi/jxUhfr8+ElTCEhvIR0HsJLjCeEl9r57MNLbYbx4aVlxszipY7xHxUv\ncX8sXvoiSvQRERERE46xk+i11MxSAWfJcjlWFGXCm5E3ddjY2HC2TkhGjUbDxdjC9rdv3z73eWlp\nyTnNOONRZ/aJJGtW6NAqLljEb3PYFqvVamKjEPzO0hxYSrHsf2wrRXssfeoYcw4jZImEnYqYT/S3\nWCymnI65XC4RLqc3l2D7J0tNOh6cUS6XU2VjC4VCQirTZZl5Ewq2tyJMcGpqKhVOyg45ayMOBt8T\nK447i5eQJEN4iVDLceSlVVwti5dWbaAsXuo6PT681M+CDy+tczQ0L7Wm5MNLjC2Elyz97xZjt9Br\nsljx0SI7E8lqJG8WjGONRsOpn4huaLVaCUeOyPaEcmwx7yrD/eFrM3l5MWZHslUhEueXSiV3vuWQ\nYeeLFTdtXXtQlUX98uj1kjtQAWyOAElBSt5wnB3SmOtms5ly4lmFuLgCIW/kzg+MLk3AkR6FQiFV\nfZQfdoyBeVAoFFIp+o1Gw7WJe1+v103nG/PSmn9gEC+5aBquncVLtB/CS37Rox9ZvMT3k8JLTrIT\n8eMlcxLjzuKlNtP48FLzwIeXupLrbhBNNxERERETjrGV6HnPRZZadFlTDtHiNzgkI65JzpKNLrfb\nbredqn3gwAEnbXFBKI6xFUk6t9gcYRWcYgmYx6ND9axwOJyH8eoQRzYnAFoa0tJWp9NJpWtzyjrv\ng8oqpbX3JkscUG3RZq1WSzm6isViIt7cUvlh6tDmJXzWIa68kxL3G/d0c3PTtYX+bm1tpVR6Pp/B\nvOQdn3iO+Xeal5iXEF5ijkJ4qfnkw0sr03cUvNQlBXx4qevE+/AS60AIL3Uujg8v9Xh8eIk+ny9e\n+iJK9BERERETjrGT6DXY8dPv91NSEDuW2MaF7/fs2ZPYDV5k+w2P5A62W2Ln9csuu0x++tOfish2\nBqPI9huYpVicY0lDOsSN+8u2TLQhkkzY0W2yrdPKvrOSTbhNtoVyCJ120nE2J2f0sQajnXD5fN7s\nJ5JRSqWScypCOut0OolwRMtJZ42NHX9W+CVg1bqBHRzjEEkW57LC+wZB27x9eKmznX14ifNDeKmd\nrD68tI5n8dJKDBoFL3XYsA8v+b5gXFm81P6dUfFS17rx4aXm1m4wtgv9IJJoDHLeYAKPHDmScppV\nKhUXwwxH1/Lysvt+bm7ORTf87//+r/se6hZUMSadVXyIVV1WazkrUZdIsBwuTGQ9TlxPPzDs+OHS\nBvjb7/dTEQbslGJnk9WPQWYLOJbgMOOMYzxYnJLO2YSWacAaY7vdTkU1cH/Z3GNtlg6HJu90ZWVo\nWsfnIqoAAB7lSURBVPi/5CUW8xBealOhDy/x/xBeWsezeMn3XMSPl9qBPype8i5e6GMWL7VZ0YeX\n+jn14eW5LPBANN1ERERETDjGXqLv9XoJdVirzaziwuGyd+9et6nxoUOH5ClPeYqI7EgFp0+fdk4v\n7PwzNzeXKNCErDlk/i0tLaVqgvBOSSxJcMimltpyuZyTHkqlUsJBCVjSEpsWOLMQx3AdLm+KY81m\n05kJMMaZmZlEHW38ZSlIS1PsTOLfcU1yfIYEtbq66vYaxbVnZ2cTNUd0nP0gcIwyPrN2xVKUSLr+\nN36LueDdinBPpqamhkpQVkigDy8RDhnCS3AwhJfaWe7DSx0AMSpe6tBPH17qDd99eIm+h/AS8zlq\nXmpzkA8vdb2s3SBK9BERERETjrGT6HWCkUjSeaPfavl8PuHIEdl+M0Ly+fa3vy0ve9nLREScBLVv\n3z73loU0tH//fneMs9lgVz5z5kwqfK9cLiccf5A68DZmbQRgiUNnrw46h+29DEgx3W431XeWytrt\ntpMWhjmKOZmL+8BSnbaziiSdubgHbPfFOZCgWq2Wk6DY4QboGkJ6rnq9nZK54AuXyeVsSpYE4YiD\n1lMqlRLhdPidvid8nd3yEvMfwkvY60N4CYk0hJfawejDSyv8DxjES1w/hJc6mWtUvEQ/Q3ippXMf\nXmqnrw8vraSzUIzdQm+RTsfa6s8cOSMicvbsWffwXHjhhfKZz3xGRHaiFy655BK3FR4cWTr1GgRk\nlQ99gpOMM+V0Rhz6ZanQrALj5nKEgHaEdTodN152srLjB9fn1Gp+ELSTiCMEeGchwNoGrtPpuOuw\n8wxt1+v1xGIusn0foZbjd2tra+77mZmZlLmBcyf4IeKHHfPGuybph4jPabVa7r5hvKVSKVW6gJ2T\nDOalNsf58PLs2bMiIkG81GYyH17i+Kh5qR3NPrzUG2Pr34qcH17qRd+Hl5ydjHnN4qUVsZXFS32O\nDy91fsJuEE03EREREROOsZPouV6NSNJZZDnCWJXjcKhHHnlERESuueYaV4r4hz/8oYhsS5SQjPCW\nnJubc/Hx7EiDhDw3N+ekMrzpz549665fqVRSkgSrfzrTU8QOnbJCMnXGI5dAFUmWlYWU0m633bjn\n5uackw+SyxNPPJGSwER2nFUs0cCRWCqV3LVRfIvHsLm56TbB5kxQmMdYOkc/Op2OuybuX6PRSEmM\n2qSii6uxsw/9aTabbl6eeOIJOX36dOJ7K0bZMp2JJHmpY8h9eIn7GsJLmHlCeInPIbzUYaI+vLSy\nw7N4iXs1al7qUFkfXuL+hfDSMqlk8ZId6xhvFi81t3aDsVvo9UMkkoxx1ion27yZjJjw+++/X571\nrGeJiMgLX/hCEdmefNzQhx9+WESSKemVSiWRqo4+aNWz2WwmdqnRfec61xgDb4nHHnUrKofVN36g\ndMr05uZmIn1aZNvGi75zca8DBw64c1H7nKMPuJ49TApYcLgmOa7X7XadXbjZbCauL7L9QHFMt8i2\n+s1mCbY9Yw60SYXHzeewLVNXQlxdXXUP+OrqasIMgXZ0WYtBC/2TwUvcsxBeYiEJ4aUuXObDS7bD\nA1m81NsG+vCSNwUX8eMlPofwEr8dNS8hIIXw8nws9NF0ExERETHhGDuJ3vJKA1YmInvm+c2Ht+Pm\n5qYcP35cRLadXSIihw8fdrv/QIJaXl5OqJlQgbn+tC5mVSwWE5KtVpFLpZI7h80WONZoNFLSVKfT\nSZVM5TY5koSzCjluV2RbQoLqyeofRz5YjlVga2tLHn30URHZydjjPUABLlmbz+dlfn5eRHZUbVyP\n56BcLrsx1ut1s5QzwHPKKrIlUQK4jydOnHD31zLxcdYowFIbg3lpRVJpaF7qOHsfXsJJF8JLnlfM\nTxYvMa+j5iWk9hBe6rn14aXeW9WHl5DoQ3hpZT5n8fLEiRMiIkG81Bnfu0GU6CMiIiImHGMn0Wu7\nJhdLErFrwQyL+a1UKqnQqnq9LocOHRKRHcdQuVx2b3CruFOz2ZTFxUUR2QmvZHs7Sx9sx9OOJd7F\nniUadj6jn2y743Y4sxDjghSDTN/9+/cnpCQdY76wsODmCOc+8sgjThorl8tOGsN1MGbMq0gyzrdc\nLqfssOz44/lh57S2b/P1rDAzHg9nL6IdODTX19cTEqN2ILLt3NIgGcxLfZ9Fsnmp7aw+vISUGcJL\nLYn78BL3IoSXurCYDy+RFxDCSzivQ3ipy2L78FLnGvjwUhd+8+ElfCchvDwX2zwwdgu9rpGuK0Tq\nGGY+Zv2OHTWIU3344Yed2oe45b179yacWryQiSRrVuMB5fT/fr+fimUXSW6Rpo9x++x00i8unaii\nHUKsmiKRplKpJJJQON4ZxxC1gEJZPLZGo5Ha+YarW+IFyUSuVCqpDZtZjcYxTiIpl8vuN7g/VsJO\nLpdL3F/eNk8fg8OLY+L5gbGiJaxSAQzmpVUhMouXOi/Ah5e4PyG81DHmo+KlldSXxUuOHsLfUfBS\nF3bz4SVeNCG8tITSLF5aa9W58NIX0XQTERERMeEYO4l+mDTLbzdLbbYkEiu8rNVqufAmqPnT09NO\nUmC1GZICZ+TB+cNts6QHNdMyW3CmL48BUlez2Uylg+sUez1Hc3NzTpJnSY7D/3RsMcdCQ9K66KKL\nXAr42tqaU+Uh1VWr1VSsOktTXHaBzQVaEuG5YseglQnMkidLPlZIGn4L9Zj7YcU9s2Ocw18tp9cw\naXZUvATPQnipC4/58NLSRoBBvLQclFm81BK/Dy/hnA7hpa5h78NLHQbtw0vd91Hx0trRLBRRoo+I\niIiYcIydRK9LmfJb13JKsAMEf7lgkeXMYAcipIKtrS0nTXEtECupAhIF2wPZRsnhcLrIVLvdTrSp\nS+uKJItPYYzsiMNnSHwLCwtO6mPJhJ082hZqXY9twNVq1dl0uWiWlv5wHv5qxx9LIXwfODQNcwSH\nWaPRSJQNxrloi/dTtTIIEYJoaRO6H5YT1irUxbzUbfrwUpfb9eEl5j2El+w7wbWzeKmdvT681OGi\n/HkQL1kyRttZvNTO/3HipdYSfHjJfgWN3fDSF2O70FtEExnuBLIiHwZlOeooCCYiE5mr0KFPp06d\nEhGRyy+/PJX1ifP1Z8sLb8XmM4E4+oAfLJAemYEzMzOJFwn6y1l+2hnIGZW8iPF1sK0dXoarq6vu\nJcdzyYuYXgAs0wDfs3q9nqpMyAs0R56wQ1S32el0EhmZaM96ePj+6AzQTqfjHmwG89KKkR4FL7U5\nwYeXl19+eeKaPrzUzksfXmoTng8v9TPtw0v9nPrwUo/dh5f6hePDS9yDEF4OyxUZxEvejWq3iKab\niIiIiAnH2En0Wj1hqYwLSrEjS7/1OQxKm3Hw18o20+o1X6fb7TqVFL87c+aMy/bjmHpINryDDs6p\n1WqJNnVJYjbTsPTBTja82bnoEtdgR3sseerYYjaFsPOKw/d05l+tVnPhf1Cb6/V6opyslpxYMuUw\nQVx7Y2MjFVLL9ep5frhtrepPTU25Gilc64SlMq0us1SH9orFonNaMpiXWirz4WWWeRF/z5WXCEMM\n4SXMPSG8tEIps3hpZY1m8dLK28jipdbsuP1BvNQajA8vtTPWh5fQUEN4yRnLu8XYLfRWcodWr63f\n8WcdP80RFSJJOzmgU5G1hzufz7uJxs1eX19P1NHWZhquRQ01s1KpJEiL3+IhsWx33W7XnV8oFFLF\nrhqNhiM3V8/j6wwryoVx8cuh1+ulNlrh+Hdcj0tHcNv4zNu4Yf5nZmZMkwKXGcADwWYFHQXB53BN\ncV5QrA1F+AWq1XP2bTCYb/wQc3v6d3zMip/O4qU27/jwEpEdIbwET0J4yQlb+D6LlzB1hPBSvxx8\neKlLR/jwEi+nEF6i7yG81DkYPrzUvo3dIJpuIiIiIiYcYyvRAzrW1lJttfrNaiYXdbIcIVy0yfKI\ns0MN0gve6isrK06CKhaLKRW7VCqlnKRcMIrjfzlzT/eDdwkqFouu/7g2l4PFudPT04na9PiMuWy3\n26mSw1tbWwkJS6uh/f5O6QL0ic1kVkZfvV5PqcXr6+vO3MBzxOYTrQWwNMtOPE7RR11vLljF5jwr\nUsSKr7acp1aURggv9bV9eKkL/PnwEiaMEF5CIwjhpd65yoeXuOchvIT0HsJLzUcfXqLPIbzU34+K\nl8Oc+r6IEn1ERETEhGPsJHptt+RNEvh7y7bHdi/Y57imiBXXDPCb07KpcgwzS5lcKlXHMHNcNKSm\nzc1NpxHwnrOWxMi1OnBOLrezgTdsfysrK268OIf9B41GI1WKmKUctutzNiGkNq7fAQcXS2ocn60d\nVCwhs2QC2+/8/Lz7jL+86To73tiurO2vy8vLLn6e75klzVkx12ibJTUG81I76fj7QbxkezLayeKl\n5azN4iU+h/AS9zSEl7Czh/BS+w98eAkOhvDSyhvI4iU+h/BS2/B9eGllS2fxUu9duxuM3UKvJ4JV\ndktF1gs0/rJ6zeoy2mS1T1+Hzwc6nY4jP9TNWq3m6kuvrq6mnFHsQAQ52+12YgNv6+bpuGauT82O\nWZB7a2sr8SJBH0G6zc3N1OKkTWQYI5NOx4tXKpXUg1kulxPJORz7z3MhknTGDjOPWE5sTlZhJx3a\nPHnypPstHGt8feueMnesuGYG81K/uHx4qa/jw0vLNJDFSyzqIby0NpbP4iWuGcJLvY2eDy+1+cqH\nl9qR78NLvW0gYxAvcc0nk5e+iKabiIiIiAnH2En0+q3FTql8fqeYEscoa+cY70lqOTuszEatouoy\nrmwG4MJHaHNra8uprLwvJRwwkCTa7bYze7DkBClneno6Fcqm1VktBVWr1YQjDdfhAme6EFS73U4V\nzeLQwq2tLRdrzVIMrom2uZwrxyPzPdFx3Lxhdb+fLlPQarVcP7m/VnEp9O3kyZOm2YTv+bA69IP+\nbx1nBz6ukcVLvSepDy+twIQsXuK+hPCSN7LGsSxe6gJmPrzEdUJ4qUMLfXiJuQ7hJbgZwkuMZ9S8\nPBdJ3l3vnFuIiIiIiBhrjJ1Er21cLPlY9ngGhzYNcwaKpMPqNIZ9D0mBExhqtVoqXNFKhsjldvbE\nXF9fTyXfsPOF/7JtEW0hcWv//v0JZ5VIMuyRw9R4l3r8dmFhQUS2N19hSU5nGCIRhcfOY+RQPask\nLifsWOFynIGIfnJ/LWD/UA5b5fA7KwGN78kwSZzBvNSZ2D68tOqmjIKXOqnGh5doM4SX+BzCSx3u\n6MNLbEISwkt9T314qZPffHg5iJMig3lpSe/AIF5a4behGLuFntPK+f8iyQkA+CGzVB/ODOR4WO2M\n5RtrOUh0myLJDNzZ2Vl3QxHxsLq6mqoqKbKjptbrddcPqNWcqWhl8ZXLZaea4ndcp5wfWpC2VCo5\ngkKN73Q6jvR4cNbW1lx/2enIaft6s3NWPdm8AnCKtzZj4bM2E3Q6nURkBuae1W48ZI8//ribX3CG\nH9ph8fE8Rr04aDAvrYzVUfDScvBm8VJH5YyKl1qw8OGlrpLpw0scD+Glzqb14aWOwvPhpeVgz+Kl\n5WDP4uUgToYgmm4iIiIiJhxjJ9HrsC3OyOM3HcMqCgSwyslSqHbgcowrZy1yCV/taMnlconMwcOH\nDyf6cerUqYRUjnNYvYZjiZ1rkApYYmDHEdRZ7MfJDjnOWOWa4zDPoD8nTpxI1G0X2S7SxhKalYGI\nNiF15XK5hINKS07VajVVXpUlV553ztbUajGrsCKS2jR6amoqtZeBlop1LDWPjUsCQyJlMC91KKAP\nL62wwSxe6jBbH17i/BBeai1aJJuXOCeEl/gcwksUaQvhJdoK4aWuV+PDS23CE8nmpdYCfHiJzxYv\nfREl+oiIiIgJx9hJ9MMSS7JsoVY7nITC32kJjK+D87gfbCfjvmETBH7bXnrppe57vOGRyFIulxMS\nnA7VKxQKKXs7j5tD9SCRFIvF1E5WxWIx4eDCNXHO4cOHE0kdIiJPPPFEYq61H6Pf75sZxSwdoh/8\n18py5aQWHULHGowVRri0tCRPPPFEYo50GC6uY2WaMjQP8vmdapB6nLiezoIdFS/1dfjzIF7inBBe\n4l6E8FL3w4eX4FsIL3GfQ3ip1xAfXmptw4eX2lfgw0v2K+j+Mqx7PlFliq2IBuv7rNhS9lTrlOl2\nu52KkuAHlR0g3B9W1fEXKmW1Wk15x/fv3++cSVBBseCLJOOegX7fTnMH+UWS8cMYF67JD5Y2T/F4\ni8Wi27iZXw7ob7PZHDoHvNMOSMsOOWuXIDZfsTpsOcr0XPZ6PZdC/7Of/cz9ls0aenHidqzoBb4u\nq9eWGcaaA+v788lL/fLw4SWOh/CSOSnix0vmDJDFS+vlwO2jPeYl2g/hpeagDy91ToMPL3F+CC8t\nXmfx0iqNEIpouomIiIiYcIydRG/V/2B1V4caDYpV5/O16UDXz+G/3C73I5fLpZx9IkkpVZ9TrVbl\n0KFDIrKjrq6vryckDV0iltux4qxZmuIwz0Gaici2+q6LLbGZAHHPhULBfd7Y2HBxyhxmhuuwCszx\nyFbMvGXqYAeitZeovs/NZtPt1bu1tZWqWcJzwA5LS9K2zADWJuQM5qW+Lz681Nzw4aUVSjkKXkIi\nDeGllcE+Cl5ymKiIHy91rRsfXmozjA8vobmE8NIKGAAG8XKQdSMEY7fQ60VOJBndoL/nieRjPNE6\nKsd6gPBbQD/MvPUbt83buFkPO2yPUEdbrVZixxndNx63laBSrVZNm6pOL9cRGrDV8stQP5ilUsmp\n8bxFIJJarIJSrPbyA8VzrNPPW61WYrNtHWHDDxQWnFOnTjnzl7ULENdItxYaS+3N53c2XvY1ueyW\nl9okOSpe4rchvNSx7D681El9PrzUtnUfXoLPIbzUfPPhJeYghJdY4EN4qRf4c+WlL6LpJiIiImLC\nMXYSvSV9WNEHVso6S1h4u9br9VSkiC6rgL8sLelr8nWg6nIxpUEFn3hTcJHtMgOQSDY2NpzkxY4h\nndnH6qhVL51r9kPKKZVKCQeXdtbyBt1caAufa7Wai4fmrMVhad8sLVlmC+4Px2RrKYfLJePai4uL\niVrumieDSgpwP6wMRCtaxip6NyjqCm3r32le6mgLH15qqc+Hl7yHK//VY2BeIv49hJc6isWHl1zM\nDOdk8ZK1A/R3FLzU5cR9eLm4uCgiMnJe6ud0N4gSfURERMSEY+wkep2pqJ1S+o3J9jcrm4ylBquO\nCMNyhFnhfYhBnp+fT4WMMTjuFhLLzMyMzM3Nich2MSbOoNPtWLsRtdvtVMYkn4dzeJ4KhUJqRyC2\nG7MmxNIL7ISIyeaiTlY2H59jhQmipg7bgFutVkKjENmWLPV4IKmi79reqz/jd5zRaoXusj0ff63a\nIswty4GfxUvN0VHxkrNSdR8BzUvUkQnhpc4k9eGlNUdZvLSk6ixe6jH78FKvOz68ZE6i71m8xNyE\n8FKHk+4GY7fQY7BcCIjjUC2nluXgYJXTqhxoVZHD96xSc6U8bPKLBKPZ2VnTAcPt6XjjqakpR1De\ngYcXaKvgGt94TcB8Pp9QfdFvfhi1I5kXLFaleQ55O0f0XW8xxw81PxwAFz3jFHuu5Y3jVgVDNkGw\nWs0Lpp4XnittHmFwxAovBMOiXXhHpxBe6qiOUfES0SkhvMRvQ3jJPNLfD+Il+hzCS12R1IeX2hQy\nKl5i7CG81CY8C5qXVuRSKKLpJiIiImLCMXYSvZZ8WBXjtz1LFzojUqcnW04tS8LC25pjtldXV13b\nKPQEhyfv1MNSkuW4Y+cXvl9YWJClpaVE3zmsC1IVF2Wanp5O1eOuVqup3X24/jfH4nLmpOUkYslV\nx6UXCoVU6Br6jGM6Trjb7aZqy3c6HTeGVqvl5pMlK62ucpYlO8E53pizGnHMUnfZ/GFJobqmO47j\nd9ps5cNL7UT14aUuBezDSzhRQ3iJQIEQXsJsEcJL3isB1x4XXqKfIbzUpUp8eGnlPOgxal7qfIvd\nIEr0EREREROOsZXoAR1mpKWgXG4nk5Hflmy/s8LhcA4SR/L5vCuPuri46JIgrH1BIT3s37/fzPiz\niiWxBAXJZnp62klTbAvFNfF3eXnZSUlzc3NOauMsP7QD59bc3FxCKkD7XO6Vz0d7HMplhQ/ie+4v\n2zV1KFi323VhcJCWer2e+7y1teXOZ4lGS3rdbteNu1KpuPngfll+A55/LSlaEi5LXQzLwTjs2pqX\nnHGJY1m8RFshvNy/f3+qj1m8xHhDeIldnUJ4CWdvCC91SWgfXmJsIbzEOSG8ZG0GYxwFL1lD3S3G\nbqGHuYKdPFY8MsBEtyaPMxD5YdOV9lZWVtz2X6dPn06YDES2TS7YoQcTv2fPHpNs/GDpbE12HFWr\nVUcS/K7ZbDqVkdvDA7GysuLmCNESpVLJPYQYD6uzW1tb7jjv8qRNA7rchH6BslMLqnsut1NfnwtB\nsZqPvqO9RqNhZmEy0dn0gGtjrtkkgLlik4u1yKFd/stjy3J4MS+tKIksXurF1oeX4FsIL+FQDeEl\nF/rCtbN4qaOifHiJ8Ybw0io3kcVLHdDhw0v0PYSXOH/UvDwXJywQTTcRERERE46xk+gtxxFgOWcs\nDNICWLLhmtkiSSmz2WymwvtExNWaRt2aWq2WuI6WPnK5XCo8jK/ZbrddPzj8i53KOJdVT8RNQwph\npzC+63Q6zoxTKpWcBM5OK12vRKuRuj5Is9lMqcAcUsaSEzu3tMOTpSnOeWApVKupvHNQpVJxJgE4\nIgdlGOqaLTyeQdmnVpblufJymBYwiJdayvThJeZl1LzUDlEfXuL8EF5qTciHl5qjPrzU4aQ+vORd\n1jCuLF7inofwEp+HZf9mIUr0EREREROOsZPoAbaLZe3Gor/j8CROtAFmZ2dTlfZEklKblqo3Njbc\nG/fo0aMikqwcyCGdLNVZ5U+5Oh+kG/SRy6NqqQnnoE/DEow41K5SqaTssNw3zEWpVDKTVbjv2t7L\niUH8PUtOul5Jv99PbGyhnVDsFLYyQNk3gjotq6urKSlJhzBaTlQtaXe73aFOLz4nhJfa8ToqXmqf\ngw8v9c5cPrzU4/XhJYcli/jxUvtqfHipbd4+vMT3IbzE8RBeWsmdWbzkUM3dYuwWeiuLL8tRZp2j\nHSkMjmhg5xYcWaurq4lt70S21edrrrlGRESuvPJKEUnXitZqmeV84QeCozHwYLGXnSNB+GHU5Ody\nsLw5OCIIOIvPiq/mrF2Ai1Qx4a0IDsBaiPjBBKy4c+4bm4NY7YWqvLW15cYDx9/a2loq05fvvcUD\nHdE1DFaETggvdSapDy+x6IfwUpcs8OGlFfudxUt+AYj48VJHtvjwUi9uPrzU8eY+vNRzMype6vt+\nrrz0RTTdREREREw4xlait6QPVoH5Taelczb3cNEga+NfjoU9cOCAiGyHiqF+CKSPK664Qq677rrE\n9XQYJ8fb4ph+I3PcMksNLMXAoYNjXEyJJTRIJBzyx5ILh0BCMoP6zJKcltJF7Lo2Vow5O8+sgl8c\nLsfOLy4epcvXWveW6/Csra25ewkcOHDAZY3yuCwTIDvptKmEnZcM5qWlamfxUpt7fHgJE0cIL60w\nzixe8r3i+eF2NC8RLx7CSys0N4uX+l748JLzCtCPLF7qdceHl9qh7cNLzRMfXlpx+KEYu4UeYBuV\npfoMs3GxXTKfz6eSMviGYWEslUpy+PBhEdlOUMHNwZZrL3rRi5w6BpucJqWlwluqGn7HZQqg/vX7\nffeAcxww2xO5iJJIUgXGsdnZWRetYUWScKIToOdaP1BMSpB8eno6YfrR9mAmKj+AXOBKVz3kc7Rq\njznAwoAxHDp0yNx5iO2jVjy5jrnmqA4L1sLpw0ut8vvwEsdDeKlNRD681PPiw0s2EWJ8WbxEwbUQ\nXlpzncVL9DOEl1wMEOdm8VJvoO7DSyvqJouX+lnYDaLpJiIiImLCMXYSPSSfLAcIS0a6BCl7xOv1\nunvLwqllxaPmcjknCSwsLLhU8mPHjomIyMGDBxOxseirLiMgMtxxx+Pp9XoJyVhkW4JC//CdtYmy\nSDKdHp+h8nE5ZC5IxVl6lgmCJT2MF21WKhV3X6By8/6h+fxOeWjL1GHFKCNeW/dDF2njMXIkAtDt\ndp2J47HHHnN9GJYuz+2wJAwpVrcvkty5K4SXLEmK+PES54TwUpc59uGlHo8PL3H/Q3ipyyH78NIy\nm2TxUueH+PBSO6R9eKlLXPvwUkeg+fASfbN46Yso0UdERERMOHLnK3znnDqRyz35nYiIiIj4OUO/\n3/cqhBMl+oiIiIgJR1zoIyIiIiYcY2G6iYiIiIgYHaJEHxERETHhiAt9RERExIQjLvQRERERE464\n0EdERERMOOJCHxERETHhiAt9RERExIQjLvQRERERE4640EdERERMOOJCHxERETHhiAt9RERExIQj\nLvQRERERE4640EdERERMOOJCHxERETHhiAt9RERExIQjLvQRERERE4640EdERERMOOJCHxERETHh\niAt9RERExIQjLvQRERERE4640EdERERMOOJCHxERETHhiAt9RERExIQjLvQRERERE47/B9JtBui5\ngRxeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f7806cc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YSr2UVlOr1RLqVh/b7XZy5hKJKE/68vJyIYXy/v5+hprl8FYfWIknqs0ZObGp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\n3PlZc/NGZOEWes+qodoVpRmoVI6SJWm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eWd5qtZIWpuh2mgKpYZIpdLNSIvpSSimllBMu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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f172c9198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "folder_dataset_test = dset.ImageFolder(root=Config.testing_dir)\n",
    "siamese_dataset = SiameseNetworkDataset(imageFolderDataset=folder_dataset_test,\n",
    "                                        transform=transforms.Compose([transforms.Scale((100,100)),\n",
    "                                                                      transforms.ToTensor()\n",
    "                                                                      ])\n",
    "                                       ,should_invert=False)\n",
    "\n",
    "test_dataloader = DataLoader(siamese_dataset,num_workers=6,batch_size=1,shuffle=True)\n",
    "dataiter = iter(test_dataloader)\n",
    "x0,_,_ = next(dataiter)\n",
    "\n",
    "for i in range(10):\n",
    "    _,x1,label2 = next(dataiter)\n",
    "    concatenated = torch.cat((x0,x1),0)\n",
    "    \n",
    "    output1,output2 = net(Variable(x0).cuda(),Variable(x1).cuda())\n",
    "    euclidean_distance = F.pairwise_distance(output1, output2)\n",
    "    imshow(torchvision.utils.make_grid(concatenated),'Dissimilarity: {:.2f}'.format(euclidean_distance.cpu().data.numpy()[0][0]))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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